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21123131221998 = 23213233773205603
BaseRepresentation
bin1001100110110000111001…
…01110111010011111101110
32202210100111100000002201100
410303120130232322133232
510232040133043100443
6112531455454023530
74310044611626301
oct463303456723756
982710440002640
1021123131221998
1168042a6994523
122451979aa7ba6
13ba2b973a3c00
14530517810b38
152696db4173d3
hex13361cbba7ee

21123131221998 has 72 divisors (see below), whose sum is σ = 49559823992952. Its totient is φ = 6499200936384.

The previous prime is 21123131221991. The next prime is 21123131221999. The reversal of 21123131221998 is 89912213132112.

21123131221998 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 31 + 312 + 219 + 98 = 666.

It is a super-2 number, since 2×211231312219982 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123131221991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102634665 + ... + 102840267.

It is an arithmetic number, because the mean of its divisors is an integer number (688330888791).

Almost surely, 221123131221998 is an apocalyptic number.

21123131221998 is an abundant number, since it is smaller than the sum of its proper divisors (28436692770954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21123131221998 is a wasteful number, since it uses less digits than its factorization.

21123131221998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239410 (or 239394 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 21123131221998 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 33773 67546 101319 202638 205603 303957 411206 439049 607914 616809 878098 1233618 1317147 1850427 2634294 2672839 3700854 3951441 5345678 5707637 7902882 8018517 11415274 16037034 17122911 24055551 34245822 34746907 48111102 51368733 69493814 102737466 104240721 208481442 312722163 625444326 6943830119 13887660238 20831490357 41662980714 62494471071 90269791547 124988942142 180539583094 270809374641 541618749282 812428123923 1173507290111 1624856247846 2347014580222 3520521870333 7041043740666 10561565610999 21123131221998